TECHNICAL FIELD
[0001] Embodiments of the present invention relate to the technical field of engineering
simulation and numerical simulation, and in particular to a method and apparatus for
constructing a transport model for dissolved organic matters in a river, and a predicting
method and apparatus.
BACKGROUND
[0002] A river in a natural state has a very low content of dissolved organic matters, which
however, play a very important role in the aqueous environment, have strong reaction
and migration activities, and have an important influence on the morphotoxicity and
bioavailability of trace metal ions and organic pollutants in the water body and their
migration and transformation. The dissolved organic matters are the most major part
of organic components in the water body, also a common indicator for measuring the
water quality, and anZ important basis for water quality monitoring and management.
The dissolved organic matters, which are reactive solutes, have complex composition,
and their migration process involves many complex biological, physical, chemical and
other effects. It is difficult to precisely characterize their complex migration behaviors
by a classical convective-diffusive equation and a traditional empirical formula.
Especially in some topographically complex river channels, a migration process of
the dissolved organic matters does not conform to Gaussian distribution, but has a
serious tailing phenomenon.
[0003] Truncated fractional order derivatives are able to characterize historical memory
of a particle movement process, and are therefore widely used. However, a dissolved
organic matter transport process is influenced by the external environment. Especially
in an upstream incoming flow process, a rainfall and other incoming flow changes have
great influences on dissolved organic matter distribution. It is difficult to characterize
the dissolved organic matter distribution in this process by an existing truncated
fractional order derivative model of a single stage.
SUMMARY
[0004] To solve the problems in the prior art, the present application provides a method
and apparatus for constructing a transport model for dissolved organic matters in
a river, and a predicting method and apparatus.
[0005] In a first aspect, the present application provides a method for constructing a transport
model for dissolved organic matters in a river, the method including:
acquiring first environmental parameters and first dissolved organic matter concentrations
in a target river in a base flow stage and an incoming flow stage;
determining a first dissolved organic matter transport mechanism in the target river
according to the first environmental parameters and the first dissolved organic matter
concentrations; and
constructing a dissolved organic matter transport model, for dissolved organic matters
in the target river in the base flow stage and the incoming flow stage, based on the
first dissolved organic matter transport mechanism.
[0006] In a possible implementation, the first dissolved organic matter transport mechanism
includes:
a physical adsorption ratio biodegradation process of the dissolved organic matters
in the target river, and influences, by biochemical and physical effects, on a tailing
degree of the dissolved organic matters.
[0007] In a possible implementation, the dissolved organic matter transport model is:

where
x,
t represents space and time, respectively,
C is a concentration of the dissolved organic matters in the target river,
Tl is upstream incoming flow start time in the target river,
T2 represents an incoming flow end time,
β represents a fractional order capacity coefficient,
λ represents a truncation coefficient,
α represents a fractional order number,
R represents a reaction coefficient,
v and
D are a flow parameter and a diffusion parameter, respectively,
A represents an initial concentration of the dissolved organic matters, ∂Ω represents
derivative calculation along a boundary,

and

are truncated fractional order derivatives, and the subscripts 0 and 1 of
α,
β,
λ,
R, v and
D represent time periods corresponding to the parameters, respectively, the parameters
in the base flow stage being denoted with the subscript 0, and the parameters in the
incoming flow stage being denoted with the subscript 1.
[0008] In a second aspect, the present application provides a method for predicting a transport
process of dissolved organic matters in a river, the method including:
acquiring second environmental parameters and second dissolved organic matter concentrations
in a target river in a base flow stage and an incoming flow stage;
determining a second dissolved organic matter transport mechanism in the target river
according to the second environmental parameters and the second dissolved organic
matter concentrations;
calibrating the parameters of the dissolved organic matter transport model constructed
by the method in any embodiment in the first aspect according to the second dissolved
organic matter concentrations and the second dissolved organic matter transport mechanism;
determining dissolved organic matter distribution based on the dissolved organic matter
transport model and the calibrated model parameters; and
predicting a dissolved organic matter transport process in the incoming flow stage
in the target river based on the dissolved organic matter distribution.
[0009] In a possible implementation, acquiring dissolved organic matter distribution based
on the dissolved organic matter transport model and the calibrated model parameters
includes:
acquiring dissolved organic matter distribution by solving the dissolved organic matter
transport model using an implicit finite difference method, based on the dissolved
organic matter transport model and the calibrated model parameters.
[0010] In a possible implementation, solving the dissolved organic matter transport model
using the implicit finite difference method is specifically as follows:
when t ∈ [0,T1], the number of points distributed in time is m, a time step is τ=T1/m, and a spatial step is h, tk+1 represents (k+1)th time, and xl represents an /th spatial position;
when k=0:

when k=1:

when k> 1:

when t ∈ [T1,T2], the number of points distributed in time is m1, a time step is τ1=(T2 - T1)/m1, and a spatial step is still h, tk+1 represents (k+1)th time, and xl represents an /th spatial position;
when k-m=0:

when k-m=1:

when k-m≥1:

where x, t represent space and time, respectively, C is a concentration of the dissolved organic matters in the target river, Tl is upstream incoming flow start time in the target river, T2 represents incoming flow end time, β represents a fractional order capacity coefficient, λ represents a truncation coefficient, α represents a fractional order number, R represents a reaction coefficient, v and D are a flow parameter and a diffusion parameter, respectively, A represents an initial concentration of the dissolved organic matters, ∂Ω represents
derivative calculation along a boundary,

and

are truncated fractional order derivatives, the subscripts 0 and 1 of α, β, A, R, v and D represent time periods corresponding to the parameters, respectively, the
parameters in the base flow stage being denoted with the subscript 0, and the parameters
in the incoming flow stage being denoted with the subscript 1, Γ () is a single-parameter
Gamma function, tl is initial time of a fractional order derivative, t2 is end time of the fractional order derivative, and e is a natural constant.
[0011] In a third aspect, the present invention provides an apparatus for constructing a
transport model for dissolved organic matters in a river, the apparatus including:
a first acquisition module configured to acquire first environmental parameters and
first dissolved organic matter concentrations in a target river in a base flow stage
and an incoming flow stage;
a first transport mechanism module configured to determine a first dissolved organic
matter transport mechanism in the target river according to the first environmental
parameters and the first dissolved organic matter concentrations; and
a construction module configured to construct a dissolved organic matter transport
model, for dissolved organic matters in the target river in the base flow stage and
the incoming flow stage, based on the dissolved organic matter transport mechanism.
[0012] In a fourth aspect, the present invention provides an apparatus for predicting a
transport process of dissolved organic matters in a river, the apparatus including:
a second acquisition module configured to acquire second environmental parameters
and second dissolved organic matter concentrations in a target river in a base flow
stage and an incoming flow stage;
a second transport mechanism module configured to determine a second dissolved organic
matter transport mechanism in the target river according to the second environmental
parameters and the second dissolved organic matter concentrations;
a first processing module configured to calibrate the parameters of the dissolved
organic matter transport model constructed by the apparatus in the third aspect according
to the second dissolved organic matter concentrations and the second dissolved organic
matter transport mechanism;
a second processing module configured to determine dissolved organic matter distribution
based on the dissolved organic matter transport model and the calibrated model parameters;
and
a prediction module configured to predict a dissolved organic matter transport process
in the incoming flow stage in the target river based on the dissolved organic matter
distribution.
[0013] In a fifth aspect, the present application provides an electronic device, including
a processor, a communication interface, a memory and a communication bus, wherein
the processor, the communication interface and the memory communicate with each other
via the communication bus;
the memory is configured to store a computer program; and
the processor is configured to implement the steps of the method for constructing
a transport model for dissolved organic matters in a river in any embodiment in the
first aspect when executing the program stored in the memory;
or the processor is configured to implement the steps of the method for predicting
a transport process of dissolved organic matters in a river in any embodiment in the
second aspect when executing the program stored in the memory.
[0014] In a sixth aspect, the present application provides a computer readable storage medium,
with a computer program stored therein, wherein the computer program, when executed
by a processor, implements the steps of the method for constructing a transport model
for dissolved organic matters in a river in any embodiment in the first aspect;
or, the computer program, when executed by a processor, implements the steps of the
method for predicting a transport process of dissolved organic matters in a river
in any embodiment in the second aspect.
[0015] Compared with the prior art, the above-mentioned technical solutions provided in
embodiments of the present application have the following advantages:
according to the method for constructing a transport model for dissolved organic matters
in a river provided in embodiments of the present application, the first environmental
parameters and the first dissolved organic matter concentrations in the target river
in the base flow stage and the incoming flow stage are acquired. The first dissolved
organic matter transport mechanism in the target river is determined according to
the first environmental parameters and the first dissolved organic matter concentrations,
and the dissolved organic matter transport model is constructed, for dissolved organic
matters in the target river in the base flow stage and the incoming flow stage, based
on the first dissolved organic matter transport mechanism. The dissolved organic matter
transport model constructed in the present invention can be used, for the dissolved
organic matters in the river under a dynamic condition of a sudden change in an incoming
flow, to assist in assessing the influence of the incoming flow, such as rainfall
or flood discharge, on the distribution of dissolved organic matters in aquatic habitats
in the river.
BRIEF DESCRIPTION OF THE DRAWINGS
[0016]
Fig. 1 is a schematic flow diagram of a method for constructing a transport model
for dissolved organic matters in a river provided in embodiments of the present invention;
Fig. 2 is a schematic flow diagram of a method for predicting a transport process
of dissolved organic matters in a river provided in the present invention;
Fig. 3 shows simulation results of dissolved organic matters in national Mayfield
Creek;
Fig. 4 is a schematic structural diagram of an apparatus for constructing a transport
model for dissolved organic matters in a river provided in embodiments of the present
invention;
Fig. 5 is a schematic structural diagram of an apparatus for predicting a transport
process of dissolved organic matters in a river provided in embodiments of the present
invention; and
Fig. 6 is a schematic structural diagram of an electronic device provided in embodiments
of the present invention.
DETAILED DESCRIPTION
[0017] To make the objects, technical solutions and advantages of the embodiments of the
present invention clearer, the technical solutions in the embodiments of the present
invention will be described below clearly and completely in conjunction with the drawings
in the embodiments of the present invention. Obviously, the embodiments described
are part of, but not all of, the embodiments of the present invention. All other embodiments
obtained by those of ordinary skill in the art without creative work, based on the
embodiments in the present invention, fall into the protection scope of the present
invention.
[0018] It should be noted that relational terms such as "first" and "second" herein are
only used to distinguish one entity or operation from another entity or operation,
and do not necessarily require or imply there is any such actual relationship or order
between the entities or operations. Moreover, the terms "comprise", "include" or any
other variations thereof are intended to encompass non-exclusive inclusion, such that
a process, method, item or device that includes a series of elements includes not
only the elements, but also other elements not explicitly listed, or elements inherent
to this process, method, item or device. Without more restrictions, elements defined
by the statement "comprising a..." do not exclude the presence of other identical
elements in the process, method, item or device comprising the elements.
[0019] To facilitate understanding of the embodiments of the present invention, specific
embodiments will be further explained in conjunction with the drawings, and the embodiments
do not limit the embodiments of the present invention.
[0020] In view of the technical problems mentioned in the background, for dissolved organic
matters in a river under a dynamic condition of a sudden change in an incoming flow
such as rainfall or aerial discharge, a transport model that can simulate a transport
process of the dissolved organic matters in the river is proposed to assist in assessing
the influence of rainfall on the distribution of dissolved organic matters in aquatic
habitats in the river. Specifically, embodiments of the present application provide
a method for constructing a transport model for dissolved organic matters in a river.
For a specific implementing process, see a schematic flow diagram of a method shown
in Fig. 1. Fig 1 is a schematic flow diagram of a method for constructing a transport
model for dissolved organic matters in a river, the method including steps as follows:
[0021] step 110: first environmental parameters and first dissolved organic matter concentrations
in a target river in a base flow stage and an incoming flow stage are acquired.
[0022] Constructing a transport model for dissolved organic matters first needs to acquire
experimental data for a certain time period, which is called a target stage in the
present invention, i.e., in the target stage, experimental data are acquired by conducting
dissolved organic matter tracer experiments in the target river in the base flow stage
and the incoming flow stage, respectively, the experimental data including the first
environmental parameters and the first dissolved organic matter concentrations in
the target river. In an example, due to the difficulty of capturing experimental conditions
for field rainfalls, dam aerial discharge here approximately represents an incoming
flow after rainfall here. For a natural river with a dam upstream, in a base flow
stage and under certain aerial discharge (also called incoming flow) conditions, respectively,
a low-velocity region, a deep-water region, and a riverbed structure of the river
are roughly determined by collecting historical data or performing field measurements,
and experimental data for the target stage are acquired, which are specifically environment-related
parameters, including a river base flow, dam aerial discharge, and environmental parameters
of the river, such as a water level, pH, a flow rate, temperature etc. Fallen leaves
are collected and soaked in river water to obtain leachate, or a colored soluble organic
matter such as humic acid or fulvic acid is directly used as a tracer. Before an experiment,
detection points are set at a first distance and at a second distance below the dam,
respectively, e.g. monitoring stations are set at 50m and at 150m below the dam, respectively,
and a concentration of the tracer organic matter in the river is monitored continuously.
The tracer is placed 50m below the dam under base flow conditions. Depending on water
flow conditions, when the tracer concentration is monitored at the 150m monitoring
point, the dam discharges water at a fixed flow rate, which reflects a flow rate after
upstream rainfall converges, and measured tracer organic matter concentrations are
continuously collected and sorted to determine dissolved organic matter concentrations.
[0023] Step 120: a first dissolved organic matter transport mechanism in the target river
is determined according to the first environmental parameters and the first dissolved
organic matter concentrations.
[0024] According to the experimental data acquired in the above step, the first dissolved
organic matter transport mechanism in the target river is analyzed, including a physical
adsorption ratio biodegradation process of the dissolved organic matters in the target
river, and influences, by biochemical and physical effects, on a tailing degree of
the dissolved organic matters.
[0025] Specifically, according to the acquired experimental data, the physical adsorption
ratio biodegradation process of the dissolved organic matters in the river, and the
influences, by biochemical and physical effects, on the tailing degree of the dissolved
organic matters are analyzed. Biodegradation and chemisorption weaken the tailing
phenomenon. Physical effects (e.g., physical adsorption and desorption processes,
and slow material exchange processes of dissolved organic matters in immobile regions,
etc.) enhance the degree of tailing of a soluble organic matter breakthrough curve.
[0026] Step 130: a dissolved organic matter transport model is constructed, for dissolved
organic matters in the target river in the base flow stage and the incoming flow stage,
based on the first dissolved organic matter transport mechanism.
[0027] Specifically, according to the analysis in step 120, the transport model for dissolved
organic matters in the river is established for two stages before and after rainfall.
The dissolved organic matter transport model functions to reflect a transport process
of organic matters containing a reaction item. The reaction item as used here is the
organic matter tracer that can participate in a chemical reaction in step 1. In an
example, the dissolved organic matter transport model is a truncated fractional order
derivative model with dual stress sections, specifically a truncated fractional order
convective-diffusive equation with dual stress sections:

where x,
t represent space and time, respectively,
C is a concentration of the dissolved organic matters in the target river,
Tl is upstream incoming flow start time in the target river,
T2 represents incoming flow end time,
β represents a fractional order capacity coefficient,
λ represents a truncation coefficient,
α represents a fractional order number,
R represents a reaction coefficient,
v and
D are a flow parameter and a diffusion parameter, respectively,
A represents an initial concentration of the dissolved organic matters, ∂Ω represents
derivative calculation along a boundary,

and

are truncated fractional order derivatives, and the subscripts 0 and 1 of
α,
β,
λ,
R, v and
D represent time periods corresponding to the parameters, respectively, the parameters
in the base flow stage being denoted with the subscript 0, and the parameters in the
incoming flow stage being denoted with the subscript 1.
[0028] According to the method for constructing a transport model for dissolved organic
matters in a river provided in embodiments of the present application, the first environmental
parameters and the first dissolved organic matter concentrations in the target river
in the base flow stage and the incoming flow stage are acquired. The first dissolved
organic matter transport mechanism in the target river is determined according to
the first environmental parameters and the first dissolved organic matter concentrations,
and the dissolved organic matter transport model is constructed, for dissolved organic
matters in the target river in the base flow stage and the incoming flow stage, based
on the first dissolved organic matter transport mechanism. The dissolved organic matter
transport model constructed in the present invention can be used, for the dissolved
organic matters in the river under a dynamic condition of a sudden change in an incoming
flow, to assist in assessing the influence of the incoming flow, such as rainfall
or flood discharge, on the distribution of organic matters in aquatic habitats in
the river.
[0029] The present invention provides not only the method for constructing a transport model
for dissolved organic matters in a river, but also a method for predicting a transport
process of dissolved organic matters in a river. Introduced in the above embodiment
is mainly a process of constructing a transport model for dissolved organic matters
in a river. How to use the constructed dissolved organic matter transport model to
predict a transport process of dissolved organic matters in a river will be introduced
below. Specifically, in another embodiment of the present invention, a method for
predicting a transport process of dissolved organic matters in a river will be introduced.
See specifically a schematic flow diagram of a method shown in Fig. 2. Fig. 2 is a
schematic flow diagram of a method for predicting a transport process of dissolved
organic matters in a target river provided in the present invention. As shown in Fig.
2, the method includes the following steps:
[0030] step 210: second environmental parameters and second dissolved organic matter concentrations
in a target river in a base flow stage and an incoming flow stage are acquired.
[0031] To predict a transport process of dissolved organic matters in a target river in
a certain time period, experimental data for the time period is acquired first, i.e.,
in a prediction stage, the second environmental parameters and the second dissolved
organic matter concentrations in the target river in the base flow stage and the incoming
flow stage are acquired first. The specific acquiring step is the same as the process
of acquiring the first environmental parameters and the first dissolved organic matter
concentrations in step 110, and will not be described here.
[0032] Step 220: a second dissolved organic matter transport mechanism in the target river
is determined according to the second environmental parameters and the second dissolved
organic matter concentrations.
[0033] The specific step of step 220 is the same as the description in step 120, and will
not be described here.
[0034] Step 230: the parameters of the dissolved organic matter transport model are calibrated
according to the second dissolved organic matter concentrations and the second dissolved
organic matter transport mechanism.
[0035] Specifically, the calibrated model parameters include a truncation coefficient, a
fractional order number, a reaction coefficient, a flow parameter and a diffusion
parameter. By using the acquired second dissolved organic matter concentrations, in
combination with analysis of the second dissolved organic matter transport mechanism,
the parameters of the dissolved organic matter transport model constructed in the
method described in any of the above embodiments are calibrated, and fractional order
derivative and truncation coefficient ranges in the two stages are compared. The influence
of rainfall on the retention characteristics of the dissolved organic matters in the
river is analyzed. In general, the lower the fractional order derivative and truncation
coefficient, the higher the proportion of a low-velocity region or a deep-water region
of the river and the more complex the riverbed structure. Meanwhile, the calibrated
reaction coefficient is analyzed, and this parameter reflects the strength of physical
and chemical effects on the dissolved organic matters in the transport process. The
higher the coefficient, the stronger the physical adsorption and chemical effects.
[0036] Step 240: dissolved organic matter distribution are determined based on the dissolved
organic matter transport model and the calibrated model parameters.
[0037] Specifically, dissolved organic matter distribution is acquired by solving the dissolved
organic matter transport model using an implicit finite difference method, based on
the dissolved organic matter transport model and the calibrated model parameters.
[0038] In the following, solving the dissolved organic matter transport model using an implicit
finite difference method is specifically as follows:
when t ∈ [0, T1], the number of points distributed in time is m, a time step is τ = T1/m, and a spatial step is h, tk+1 represents (k+1)th time, and xl represents an lth spatial position;
when k=0:

when k=1:

when k≥1:

when t ∈ [T1,T2], the number of points distributed in time is m1, a time step is τ1 = (T2 - T1)/m1, and a spatial step is still h, tk+1 represents (k+1)th time, and x, represents an /th spatial position;
when k-m=0:

when k-m=1:

when k-m≥1:

where x, t represent space and time, respectively, C is a concentration of the dissolved organic matters in the target river, Tl is upstream incoming flow start time in the target river, T2 represents incoming flow end time, β represents a fractional order capacity coefficient, λ represents a truncation coefficient, α represents a fractional order number, R represents a reaction coefficient, v and D are a flow parameter and a diffusion parameter, respectively, A represents an initial concentration of the dissolved organic matters, ∂Ω represents
derivative calculation along a boundary,

and

are truncated fractional order derivatives, the subscripts 0 and 1 of α, β, λ, R, v and D represent time periods corresponding to the parameters, respectively, the parameters
in the base flow stage being denoted with the subscript 0, and the parameters in the
incoming flow stage being denoted with the subscript 1, Γ () is a single-parameter
Gamma function, t1 is initial time of a fractional order derivative, t2 is end time of the fractional order derivative, and e is a natural constant.
[0039] Step 250: dissolved organic matter distribution are acquired by solving the dissolved
organic matter transport model using an implicit finite difference method, based on
the dissolved organic matter transport model and the calibrated model parameters.
[0040] Based on the dissolved organic matter distribution, a transport process of dissolved
organic matters in the region or a similar river channel under a condition of a sudden
change in an incoming flow such as rainfall or aerial discharge is predicted, and
the influence of this working condition on the distribution of dissolved organic matters
in aquatic habitats in the river is assessed. Generally speaking, rainfall or aerial
discharge, i.e. a sudden incoming flow, reduces the content of dissolved organic matters
upstream, while the content of dissolved organic matters downstream increases.
[0041] According to the method for predicting a transport process of dissolved organic matters
in a river proposed in the present invention, the second environmental parameters
and the second dissolved organic matter concentrations in the target river in the
base flow stage and the incoming flow stage are acquired. The second dissolved organic
matter transport mechanism in the target river is determined according to the second
environmental parameters and the second dissolved organic matter concentrations. The
parameters of the dissolved organic matter transport model constructed by the method
of any embodiment in the first aspect are calibrated according to the second dissolved
organic matter concentrations and the second dissolved organic matter transport mechanism.
Dissolved organic matter distribution is determined based on the dissolved organic
matter transport model and the calibrated model parameters. A dissolved organic matter
transport process in the incoming flow stage in the target river is predicted based
on the dissolved organic matter distribution. For dissolved organic matters in the
river under a condition of a sudden change in an incoming flow such as rainfall or
aerial discharge, a transport process of the dissolved organic matters in the river
is effectively simulated, and the distribution of dissolved organic matters in aquatic
habitats in the river is dynamically assessed.
[0042] A specific embodiment is used below to verify the construction of the dissolved organic
matter transport model and the prediction of the dissolved organic matter transport
process based on the constructed dissolved organic matter transport model as introduced
above in the present invention.
[0043] A river selected is Mayfield Creek (32.965453 N, 87.408953 E) in Alabama, which is
a second-order coastal plain stream located within the National Forest in Talladega
in the southeastern United States, in a subtropical climate zone, with an average
annual temperature of 15°Cand an average annual precipitation of 672mm. The Mayfield
River flows northward into the Black Warrior River and eventually into the Gulf of
Mexico. Its watershed soil is moderately well-drained fine sandy loam, and riverbed
sediments are mainly sandy particles containing quartz, illite, montmorillonite and
kaolinite. For tracer experimental simulation results available, see the document
for details:
[0045] In the following, a dissolved organic matter transport process under a condition
of a sudden increase of an upstream incoming flow is simulated in conjunction with
the technical solution described above in the present invention. The process includes
the following steps:
step (1): for the Mayfield Creek in Alabama, a field tracer experiment was conducted
and experimental data were collected. For the experimental data, see the document
mentioned above for details.
Step (2): based on the experimental data, a transport law of dissolved organic matters
in the river was analyzed, the dissolved organic matters containing a variety of functional
groups and having large molecular chains and easily adhering to solid surfaces, and
thus staying in a low-velocity region of the river for a long time. Therefore, when
a peak passes through the low-velocity region, more soluble organic matters are bound
to the low-velocity region due to the highest concentration gradient. After the peak
passes, a dissolved organic matter concentration in the low-velocity region is higher
than that of a flow region, and the bound dissolved organic matters are slowly released,
which is expressed as a tailing phenomenon.
Step (3): based on an analysis result in step (2), a dissolved organic matter transport
model suitable for the Mayfield Creek in Alabama was established to describe the migration
law of the dissolved organic matters.
[0046] Specifically, the dissolved organic transport model established is specifically a
truncated fractional order derivative model with dual stress sections, which is described
in detail previously and will not be repeated here.
[0047] Step (4): model parameters under conditions with and without a change in an incoming
flow were calibrated, wherein a fractional order number of the model in a simulation
domain is 0.9, and a fractional order capacity coefficient β is 0.15; and a working
condition was added: a dissolved organic matter concentration at 100m downstream under
a condition of a sudden increase in the incoming flow at 2000s. See Fig. 3 for simulation
results of the two working conditions. See Table 1 for the model parameters, which
are parameters of a control equation for a breakthrough curve in Fig. 3.
Table 1 model parameters
| Curve |
α |
β |
D |
λ |
R |
v |
| Without change in an incoming flow |
0.9 |
0.15 |
0.22 |
0.0002 |
0.00055 |
0.15 |
| Sudden increase in the incoming flow at 2000s |
[0.9, 0.95] |
[0.15, 0.15] |
[0.22, 0.22] |
0.0002 |
0.00055 |
[0.15, 0.35] |
[0048] Step (5): as can be seen from the results in Fig. 3, there is a continuous input
of a dissolved organic matter source upstream, and the corresponding concentration
of dissolved organic matters downstream increases under the condition of a sudden
increase in the incoming flow at 2000s. It indicates that under the condition of a
sudden increase in the incoming flow, more dissolved organic matters are rushed to
the downstream, which leads to a decrease in the content and concentration of dissolved
organic matters upstream. It is speculated that the biodiversity in the downstream
correspondingly increases, and the biodiversity in the upstream correspondingly decreases.
For toxic dissolved organic matters, the sudden increase in the incoming flow improves
the river's ability to clean up pollution.
[0049] It can be seen from the above analysis that by predicting the dissolved organic matter
transport process using the dissolved organic matter transport model constructed by
the method for constructing a transport model for dissolved organic matters provided
in the present invention, migration and transformation laws of dissolved organic matters
in a river channel influenced by rainfall and other incoming flow changes in the natural
environment can be described, and the distribution of dissolved organic matters in
aquatic habitats in the river can be assessed dynamically.
[0050] Described above are method embodiments of constructing a transport model for dissolved
organic matters in a river and predicting a transport process of dissolved organic
matters in a river by using the constructed dissolved organic matter transport model,
etc. The following is description of embodiments of an apparatus, an electronic device
and a storage medium provided in the present application, specifically as follows.
[0051] Fig. 4 is a schematic structural diagram of an apparatus for constructing a transport
model for dissolved organic matters in a river provided in embodiments of the present
invention, as shown in Fig. 4, the apparatus including: a first acquisition module
401, a first transport mechanism module 402, and a construction module 403.
[0052] The first acquisition module 401 is configured to acquire first environmental parameters
and first dissolved organic matter concentrations in a target river in a base flow
stage and an incoming flow stage;
the first transport mechanism module 402 is configured to determine a first dissolved
organic matter transport mechanism in the target river according to the first environmental
parameters and the first dissolved organic matter concentrations; and
the construction module 403 is configured to construct a dissolved organic matter
transport model, for dissolved organic matters in the target river in the base flow
stage and the incoming flow stage, based on the dissolved organic matter transport
mechanism.
[0053] In a possible implementation, acquiring dissolved organic matter distribution based
on the dissolved organic matter transport model and the calibrated model parameters
includes:
acquiring dissolved organic matter distribution by solving the dissolved organic matter
transport model using an implicit finite difference method, based on the dissolved
organic matter transport model and the calibrated model parameters.
[0054] In an example, the first dissolved organic matter transport mechanism includes:
a physical adsorption ratio biodegradation process of the dissolved organic matters
in the target river, and influences, by biochemical and physical effects, on a tailing
degree of the dissolved organic matters.
[0055] In an example, the dissolved organic matter transport model is:

where x,
t represent space and time, respectively,
C is a concentration of the dissolved organic matters in the target river,
Tl is upstream incoming flow start time in the target river,
T2 represents incoming flow end time,
β represents a fractional order capacity coefficient,
λ represents a truncation coefficient,
α represents a fractional order number,
R represents a reaction coefficient,
v and
D are a flow parameter and a diffusion parameter, respectively,
A represents an initial concentration of the dissolved organic matters, ∂Ω represents
derivative calculation along a boundary,

and

are truncated fractional order derivatives, and the subscripts 0 and 1 of
α,
β,
λ,
R, v and
D represent time periods corresponding to the parameters, respectively, the parameters
in the base flow stage being denoted with the subscript 0, and the parameters in the
incoming flow stage being denoted with the subscript 1.
[0056] The functions performed by the components of the apparatus for constructing a transport
model for dissolved organic matters in a river provided in embodiments of the present
invention have been described in detail in any of the above embodiments of the method
for constructing a transport model for dissolved organic matters in a river, and are
therefore not described here.
[0057] According to the apparatus for constructing a transport model for dissolved organic
matters in a river provided in embodiments of the present invention, the first environmental
parameters and the first dissolved organic matter concentrations in the target river
in the base flow stage and the incoming flow stage are acquired. The first dissolved
organic matter transport mechanism in the target river is determined according to
the first environmental parameters and the first dissolved organic matter concentrations,
and the dissolved organic matter transport model is constructed, for dissolved organic
matters in the target river in the base flow stage and the incoming flow stage, based
on the first dissolved organic matter transport mechanism. The dissolved organic matter
transport model constructed in the present invention can be used, for the dissolved
organic matters in the river under a dynamic condition of a sudden change in an incoming
flow, to assist in assessing the influence of the incoming flow, such as rainfall
or flood discharge, on the distribution of organic matters in aquatic habitats in
the river.
[0058] Fig. 5 is a schematic structural diagram of an apparatus for predicting a transport
process of dissolved organic matters in a river provided in embodiments of the present
invention, as shown in Fig. 5, the apparatus including: a second acquisition module
501, a second transport mechanism module 502, a first processing module 503, a second
processing module 504, and a prediction module 505.
[0059] The second acquisition module 501 is configured to acquire second environmental parameters
and second dissolved organic matter concentrations in a target river in a base flow
stage and an incoming flow stage;
the second transport mechanism module 502 is configured to determine a second dissolved
organic matter transport mechanism in the target river according to the second environmental
parameters and the second dissolved organic matter concentrations;
the first processing module 503 is configured to calibrate the parameters of the dissolved
organic matter transport model constructed by the apparatus in the third aspect according
to the second dissolved organic matter concentrations and the second dissolved organic
matter transport mechanism;
the second processing module 504 is configured to determine dissolved organic matter
distribution based on the dissolved organic matter transport model and the calibrated
model parameters; and
the prediction module 505 is configured to predict a dissolved organic matter transport
process in the incoming flow stage in the target river based on the dissolved organic
matter distribution.
[0060] In an example, the second processing module 504 is specifically configured to acquire
dissolved organic matter distribution by solving the dissolved organic matter transport
model using an implicit finite difference method, based on the dissolved organic matter
transport model and the calibrated model parameters.
[0061] In an example, solving the dissolved organic matter transport model using the implicit
finite difference method is specifically as follows:
when t ∈ [0,T1], the number of points distributed in time is m, a time step is τ = T1/m, and a spatial step is h, tk+1 represents (k+1)th time, and xl represents an /th spatial position;
when k=0:

when k=1:

when k≥1:

when t ∈ [T1, T2], the number of points distributed in time is m1, a time step is τ1 = (T2 - T1)/m1, and a spatial step is still h, tk+1 represents (k+1)th time, and xl represents an /th spatial position;
when k-m=0:

when k-m=1:

when k-m≥1:

where x, t represent space and time, respectively, C is a concentration of the dissolved organic matters in the target river, Tl is upstream incoming flow start time in the target river, T2 represents incoming flow end time, β represents a fractional order capacity coefficient, λ represents a truncation coefficient, α represents a fractional order number, R represents a reaction coefficient, v and D are a flow parameter and a diffusion parameter, respectively, A represents an initial concentration of the dissolved organic matters, ∂Ω represents
derivative calculation along a boundary,

and

are truncated fractional order derivatives, the subscripts 0 and 1 of α, β, λ, R, v and D represent time periods corresponding to the parameters, respectively, the parameters
in the base flow stage being denoted with the subscript 0, and the parameters in the
incoming flow stage being denoted with the subscript 1, Γ () is a single-parameter
Gamma function, t1 is initial time of a fractional order derivative, t2 is end time of the fractional order derivative, and e is a natural constant.
[0062] The functions performed by the components of the apparatus for predicting a transport
process of dissolved organic matters in a river provided in embodiments of the present
invention have been described in detail in any of the above embodiments of the method
for predicting a transport process of dissolved organic matters in a river, and are
therefore not described here.
[0063] According to the apparatus for predicting a transport process of dissolved organic
matters in a river provided in embodiments of the present invention, the second environmental
parameters and the second dissolved organic matter concentrations in the target river
in the base flow stage and the incoming flow stage are acquired. The second dissolved
organic matter transport mechanism in the target river is determined according to
the second environmental parameters and the second dissolved organic matter concentrations.
The parameters of the dissolved organic matter transport model constructed by the
method of any embodiment in the first aspect are calibrated according to the second
dissolved organic matter concentrations and the second dissolved organic matter transport
mechanism. Dissolved organic matter distribution is determined based on the dissolved
organic matter transport model and the calibrated model parameters. A dissolved organic
matter transport process in the incoming flow stage in the target river is predicted
based on the dissolved organic matter distribution. For dissolved organic matters
in the river under a condition of a sudden change in an incoming flow such as rainfall
or aerial discharge, a transport process of the dissolved organic matters in the river
is effectively simulated, and the distribution of dissolved organic matters in aquatic
habitats in the river is dynamically assessed.
[0064] Fig. 6 is a schematic structural diagram of an electronic device provided in embodiments
of the present invention. A shown in Fig. 6. embodiments of the present application
provide an electronic device, including a processor 111, a communication interface
112, a memory 113 and a communication bus 114, wherein the processor 111, the communication
interface 112 and the memory 113 communicate with each other via the communication
bus 114.
[0065] The memory 113 is configured to store a computer program; and
in one embodiment of the present application, the processor 111 is configured to implement
the steps of the method for constructing a transport model for dissolved organic matters
in a river provided in any of the above method embodiments, when executing the program
stored in the memory 113.
[0066] Or the processor 111 is configured to implement the steps of the method for predicting
a transport process of dissolved organic matters in a river provided in any of the
above method embodiments, when executing the program stored in the memory 113.
[0067] Embodiments of the present application also provide a computer readable storage medium,
with a computer program stored therein, wherein the computer program, when executed
by a processor, implements the steps of the method for constructing a transport model
for dissolved organic matters in a river provided in any of the above method embodiments;
or the computer program, when executed by a processor, implements the steps of the
method for predicting a transport process of dissolved organic matters in a river
provided in any of the above method embodiments.
[0068] Professionals should also realize that the units and algorithmic steps of the examples
described in conjunction with the embodiments disclosed herein can be implemented
by means of electronic hardware, computer software, or a combination of both. To clearly
illustrate the interchangeability of hardware and software, the composition and steps
of each example have been described generally by functions in the above description.
Whether these functions are performed in hardware or software depends on the specific
application and design constraints of the technical solution. Professional technical
persons may use different methods for each specific application to implement the described
functions, but such implementation should not be considered as beyond the scope of
the present invention.
[0069] The steps of the methods or algorithms described in conjunction with the embodiments
disclosed herein may be implemented by means of hardware, a software module executed
by a processor, or a combination of both. The software module may be stored in a random
access memory (RAM), a memory, a read-only memory (ROM), an electrically programmable
ROM, an electrically erasable programmable ROM, a register, a hard disk, a removable
disk, a CD-ROM, or a storage medium in any other form known in the technical field.
[0070] Described above are only specific embodiments of the present invention to enable
those skilled in the art to understand or implement the present invention. Various
modifications to these embodiments will be apparent to those skilled in the art, and
the general principles defined herein can be implemented in other embodiments without
departing from the spirit or scope of the present invention. Therefore, the present
invention will not be limited to these embodiments illustrated herein, but will be
subject to the widest scope consistent with the principles and novel features applied
herein.
1. A method for constructing a transport model for dissolved organic matters in a river,
characterized by comprising:
acquiring first environmental parameters and first dissolved organic matter concentrations
in a target river in a base flow stage and an incoming flow stage;
determining a first dissolved organic matter transport mechanism in the target river
according to the first environmental parameters and the first dissolved organic matter
concentrations; and
constructing a dissolved organic matter transport model, for dissolved organic matters
in the target river in the base flow stage and the incoming flow stage, based on the
first dissolved organic matter transport mechanism,
wherein the first dissolved organic matter transport mechanism comprises:
a physical adsorption ratio biodegradation process of the dissolved organic matters
in the target river, and influences, by biochemical and physical effects, on a tailing
degree of the dissolved organic matters; and
the dissolved organic matter transport model is:

where x, t represent space and time, respectively, C is a concentration of the dissolved organic matters in the target river, T1 is upstream incoming flow start time in the target river, T2 represents incoming flow end time point, β represents a fractional order capacity coefficient, λ represents a truncation coefficient, α represents a fractional order number, R represents a reaction coefficient, v and D are a flow parameter and a diffusion parameter, respectively, A represents an initial concentration of the dissolved organic matters, ∂Ω represents
derivative calculation along a boundary,

and

are truncated fractional order derivatives, and the subscripts 0 and 1 of α, β, λ, R, v and D represent time periods corresponding to the parameters, respectively, the parameters
in the base flow stage being denoted with the subscript 0, and the parameters in the
incoming flow stage being denoted with the subscript 1.
2. A method for predicting a transport process of dissolved organic matters in a river,
characterized by comprising:
acquiring second environmental parameters and second dissolved organic matter concentrations
in a target river in a base flow stage and an incoming flow stage;
determining a second dissolved organic matter transport mechanism in the target river
according to the second environmental parameters and the second dissolved organic
matter concentrations;
calibrating the parameters of the dissolved organic matter transport model constructed
by the method of claim 1 according to the second dissolved organic matter concentrations
and the second dissolved organic matter transport mechanism;
determining dissolved organic matter distribution based on the dissolved organic matter
transport model and the calibrated model parameters; and
predicting a dissolved organic matter transport process in the incoming flow stage
in the target river based on the dissolved organic matter distribution.
3. The method according to claim 2, characterized in that acquiring dissolved organic matter distribution based on the dissolved organic matter
transport model and the calibrated model parameters comprises:
acquiring dissolved organic matter distribution by solving the dissolved organic matter
transport model using an implicit finite difference method, based on the dissolved
organic matter transport model and the calibrated model parameters.
4. An apparatus for constructing a transport model for dissolved organic matters in a
river,
characterized by comprising:
a first acquisition module configured to acquire first environmental parameters and
first dissolved organic matter concentrations in a target river in a base flow stage
and an incoming flow stage;
a first transport mechanism module configured to determine a first dissolved organic
matter transport mechanism in the target river according to the first environmental
parameters and the first dissolved organic matter concentrations; and
a construction module configured to construct a dissolved organic matter transport
model, for dissolved organic matters in the target river in the base flow stage and
the incoming flow stage, based on the dissolved organic matter transport mechanism,
wherein the first dissolved organic matter transport mechanism comprises:
a physical adsorption ratio biodegradation process of the dissolved organic matters
in the target river, and influences, by biochemical and physical effects, on a tailing
degree of the dissolved organic matters; and
the dissolved organic matter transport model is:
where x, t represent space and time, respectively, C is a concentration of the dissolved organic matters in the target river, Tl is upstream incoming flow start time in the target river, T2 represents incoming flow end time, β represents a fractional order capacity coefficient, λ represents a truncation coefficient, α represents a fractional order number, R represents a reaction coefficient, v and D are a flow parameter and a diffusion parameter, respectively, A represents an initial concentration of the dissolved organic matters, ∂Ω represents
derivative calculation along a boundary,

and

are truncated fractional order derivatives, and the subscripts 0 and 1 of α, β, λ, R, v and D represent time periods corresponding to the parameters, respectively, the parameters
in the base flow stage being denoted with the subscript 0, and the parameters in the
incoming flow stage being denoted with the subscript 1.
5. An apparatus for predicting a transport process of dissolved organic matters in a
river,
characterized by comprising:
a second acquisition module configured to acquire second environmental parameters
and second dissolved organic matter concentrations in a target river in a base flow
stage and an incoming flow stage;
a second transport mechanism module configured to determine a second dissolved organic
matter transport mechanism in the target river according to the second environmental
parameters and the second dissolved organic matter concentrations;
a first processing module configured to calibrate the parameters of the dissolved
organic matter transport model constructed by the apparatus of claim 4 according to
the second dissolved organic matter concentrations and the second dissolved organic
matter transport mechanism;
a second processing module configured to determine dissolved organic matter distribution
based on the dissolved organic matter transport model and the calibrated model parameters;
and
a prediction module configured to predict a dissolved organic matter transport process
in the incoming flow stage in the target river based on the dissolved organic matter
distribution.
6. An electronic device, comprising a processor, a communication interface, a memory
and a communication bus,
characterized in that the processor, the communication interface and the memory communicate with each other
via the communication bus;
the memory is configured to store a computer program; and
the processor is configured to implement the steps of the method for constructing
a transport model for dissolved organic matters in a river of claim 1 when executing
the program stored in the memory;
or the processor is configured to implement the steps of the method for predicting
a transport process of dissolved organic matters in a river of claim 2 or 3 when executing
the program stored in the memory.
7. A computer readable storage medium, with a computer program stored therein, characterized in that the computer program, when executed by a processor, implements the steps of the method
for constructing a transport model for dissolved organic matters in a river of claim
1;
or, the computer program, when executed by a processor, implements the steps of the
method for predicting a transport process of dissolved organic matters in a river
of claim 2 or 3.